{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Policy Gradient Crypto-Currency Trading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2831,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import datetime\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.finance as mpf\n",
    "from matplotlib.pylab import date2num\n",
    "from HuobiServices import *\n",
    "from DataUtils import *\n",
    "import talib\n",
    "import tensorflow as tf\n",
    "from tqdm import tqdm\n",
    "import seaborn as sns\n",
    "from collections import OrderedDict\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1121,
   "metadata": {},
   "outputs": [],
   "source": [
    "lmap=lambda func,it: list(map(lambda x:func(x),it))\n",
    "lfilter=lambda func,it: list(filter(lambda x:func(x),it))\n",
    "z_score=lambda x:(x-np.mean(x,axis=0))/(np.std(x,axis=0)+1e-5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2826,
   "metadata": {},
   "outputs": [],
   "source": [
    "class PG_Crypto_portfolio(object):\n",
    "    def __init__(self, feature_number, action_size=1,gamma=0.95, hidden_units_number=[300, 300, 128], learning_rate=0.001):\n",
    "        tf.reset_default_graph()\n",
    "        self.s = tf.placeholder(dtype=tf.float32, shape=[None, feature_number], name='s')\n",
    "        self.a = tf.placeholder(dtype=tf.int32, shape=[None,action_size], name='a')\n",
    "        self.r = tf.placeholder(dtype=tf.float32, shape=[None], name='r')\n",
    "        self.action_size=action_size\n",
    "        self.gamma = gamma\n",
    "        self.a_buffer = []\n",
    "        self.r_buffer = []\n",
    "        self.s_buffer = []\n",
    "        self.dropout_keep_prob = tf.placeholder(dtype=tf.float32, shape=[], name='dropout_keep_prob')\n",
    "        with tf.variable_scope('policy', initializer=tf.contrib.layers.xavier_initializer(uniform=True),regularizer=tf.contrib.layers.l2_regularizer(0.01)):\n",
    "            self.a_prob = self._add_dense_layer(inputs=self.s, output_shape=hidden_units_number, drop_keep_prob=self.dropout_keep_prob, act=tf.nn.relu, use_bias=True)\n",
    "            self.a_prob = self._add_dense_layer(inputs=self.a_prob, output_shape=[self.action_size], drop_keep_prob=self.dropout_keep_prob, act=None, use_bias=True)\n",
    "            self.a_out = tf.nn.softmax(self.a_prob)\n",
    "        with tf.variable_scope('reward'):\n",
    "            negative_cross_entropy = tf.nn.softmax_cross_entropy_with_logits_v2(logits=self.a_prob, labels=self.a)\n",
    "        with tf.variable_scope('train'):\n",
    "            optimizer = tf.train.AdamOptimizer(learning_rate=learning_rate)\n",
    "            self.loss = tf.reduce_mean(negative_cross_entropy * self.r)\n",
    "            self.train_op = optimizer.minimize(self.loss)\n",
    "        self.init_op = tf.global_variables_initializer()\n",
    "        self.session = tf.Session()\n",
    "        self.saver = tf.train.Saver()\n",
    "    def init_model(self):\n",
    "        self.session.run(self.init_op)\n",
    "    \n",
    "    def _add_dense_layer(self, inputs, output_shape, drop_keep_prob, act=tf.nn.relu, use_bias=True):\n",
    "        output = inputs\n",
    "        for n in output_shape:\n",
    "            output = tf.layers.dense(output, n, activation=act, use_bias=use_bias)\n",
    "            output = tf.nn.dropout(output, drop_keep_prob)\n",
    "        return output\n",
    "    \n",
    "    def _add_gru_cell(self, units_number, activation=tf.nn.relu):\n",
    "        return tf.contrib.rnn.GRUCell(num_units=units_number, activation=activation)\n",
    "    \n",
    "    def train(self, drop=0.85):\n",
    "        random_index=np.arange(len(self.a_buffer))\n",
    "        np.random.shuffle(random_index)\n",
    "#         I did't use the normalized reward\n",
    "        reward_normalized = self._get_normalized_rewards()\n",
    "        feed = {\n",
    "            self.a: np.array(self.a_buffer)[random_index],\n",
    "            self.r: np.array(self.r_buffer)[random_index],\n",
    "            self.s: np.array(self.s_buffer)[random_index],\n",
    "            self.dropout_keep_prob: drop\n",
    "        }\n",
    "        _, loss = self.session.run([self.train_op, self.loss], feed_dict=feed)\n",
    "        return loss\n",
    "    \n",
    "    def _get_normalized_rewards(self):\n",
    "        reward_normalized = np.zeros_like(self.r_buffer)\n",
    "        reward_delta = 0\n",
    "        for index in reversed(range(0, len(self.r_buffer))):\n",
    "            reward_delta = reward_delta * self.gamma + self.r_buffer[index]\n",
    "            reward_normalized[index] = reward_delta\n",
    "        reward_normalized -= np.mean(reward_normalized)\n",
    "        reward_normalized /= np.std(reward_normalized)\n",
    "        return reward_normalized\n",
    "    \n",
    "    def restore_buffer(self):\n",
    "        self.a_buffer = []\n",
    "        self.r_buffer = []\n",
    "        self.s_buffer = []\n",
    "    \n",
    "    def save_transation(self, s, a, r):\n",
    "        self.a_buffer.append(a)\n",
    "        self.r_buffer.append(r)\n",
    "        self.s_buffer.append(s)\n",
    "    \n",
    "    def trade(self, s, train=False, drop=1.0):\n",
    "        feed = {\n",
    "            self.s: s,\n",
    "            self.dropout_keep_prob: drop\n",
    "        }\n",
    "        a_prob = self.session.run([self.a_out], feed_dict=feed)\n",
    "        a_prob = a_prob[0].flatten()\n",
    "        if train:\n",
    "            a_indices = np.arange(a_prob.shape[0])\n",
    "            target_index=np.random.choice(a_indices, p=a_prob)\n",
    "            a=np.zeros(a_prob.shape[0])\n",
    "            a[target_index]=1.0\n",
    "            return a\n",
    "        else:\n",
    "            target_index=np.argmax(a_prob)\n",
    "            a=np.zeros(a_prob.shape[0])\n",
    "            a[target_index]=1.0\n",
    "            return a\n",
    "    def load_model(self, model_path='./PGModel'):\n",
    "        self.saver.restore(self.session, model_path + '/model')\n",
    "    \n",
    "    def save_model(self, model_path='./PGModel'):\n",
    "        if not os.path.exists(model_path):\n",
    "            os.mkdir(model_path)\n",
    "        model_file = model_path + '/model'\n",
    "        self.saver.save(self.session, model_file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2811,
   "metadata": {},
   "outputs": [],
   "source": [
    "# assets=['kanbtc','mdsbtc','socbtc','xrpbtc','dbcbtc','eosbtc','wiccbtc','letbtc']\n",
    "# assets=['kan','eos','mana','wicc','soc']\n",
    "# assets=['kan','wicc','edu','eos','let']\n",
    "# assets=['mana', 'kan', 'btm', 'mds', 'bat']\n",
    "assets=['ont', 'kan', 'mana', 'ht']\n",
    "# assets=['ont','ht']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2820,
   "metadata": {},
   "outputs": [],
   "source": [
    "asset_data=lfilter(lambda x:x[1] is not None,lmap(lambda x:(x,kline(x,interval='15min',count=2000)),assets))\n",
    "asset_data=lmap(lambda x:(x[0],generate_tech_data(x[1],close_name='close',high_name='high',low_name='low',open_name='open',max_time_window=10)),asset_data)\n",
    "asset_data=OrderedDict(asset_data)\n",
    "asset_data=pd.Panel(asset_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2834,
   "metadata": {},
   "outputs": [],
   "source": [
    "model=PG_Crypto_portfolio(action_size=asset_data.shape[0]+1,feature_number=asset_data.shape[2]*asset_data.shape[0],learning_rate=1e-3)\n",
    "model.init_model()\n",
    "model.restore_buffer()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2835,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 train_reward 0.07903108208347442\n",
      "0 test_reward 0.37134288540323734\n",
      "1 train_reward 0.7204701544096683\n",
      "1 test_reward 0.10964580416566605\n",
      "2 train_reward 0.8790297189793819\n",
      "2 test_reward 0.26180091619312373\n",
      "3 train_reward 1.0286430711566938\n",
      "3 test_reward 0.2587114560401458\n",
      "4 train_reward 0.9537160810809838\n",
      "4 test_reward 0.18478901388061808\n",
      "5 train_reward 1.0703179821380218\n",
      "5 test_reward 0.341236296849047\n",
      "6 train_reward 1.220744953250687\n",
      "6 test_reward 0.4549656041713206\n"
     ]
    }
   ],
   "source": [
    "normalize_length=10\n",
    "train_length=50\n",
    "batch_size=20\n",
    "c=0\n",
    "epoch=50\n",
    "train_r=[]\n",
    "test_r=[]\n",
    "for e in range(epoch):\n",
    "    test_reward=[]\n",
    "    test_actions=[]\n",
    "    train_reward=[]\n",
    "    for b in range(batch_size):\n",
    "        previous_action=np.zeros(asset_data.shape[0]+1)\n",
    "        for t in range(b*train_length+normalize_length,(b+1)*train_length+normalize_length):\n",
    "            state=asset_data[:,t-normalize_length:t,:].values\n",
    "            state=state.reshape((state.shape[1],state.shape[0]*state.shape[2]))\n",
    "            state=z_score(state)[None,-1]\n",
    "            action=model.trade(state,train=True,drop=1.0)\n",
    "            r=np.sum(asset_data[:,:,'diff'].iloc[t].values*action[:-1]-c*np.sum(np.abs(previous_action-action)))\n",
    "            model.save_transation(a=action,s=state[0],r=r)\n",
    "            previous_action=action\n",
    "            train_reward.append(r)\n",
    "        loss=model.train(drop=1.0)\n",
    "        model.restore_buffer()\n",
    "    model.restore_buffer()\n",
    "    print(e,'train_reward',np.sum(train_reward))\n",
    "    train_r.append(np.sum(train_reward))\n",
    "    previous_action=np.zeros(asset_data.shape[0]+1)\n",
    "    for t in range(train_length*batch_size+normalize_length,asset_data.shape[1]):\n",
    "        state=asset_data[:,t-normalize_length:t,:].values\n",
    "        state=state.reshape((state.shape[1],state.shape[0]*state.shape[2]))\n",
    "        state=z_score(state)[None,-1]\n",
    "        action=model.trade(state,train=False)\n",
    "        r=np.sum(asset_data[:,:,'diff'].iloc[t].values*action[:-1]-c*np.sum(np.abs(previous_action-action)))\n",
    "        previous_action=action\n",
    "        test_reward.append(r)\n",
    "        test_actions.append(action)\n",
    "    print(e,'test_reward',np.sum(test_reward))\n",
    "    test_r.append(np.sum(test_reward))\n",
    "    model.restore_buffer()\n",
    "    if np.sum(np.sum(test_reward))>0.4: break\n",
    "model.restore_buffer()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2836,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f77a25404e0>]"
      ]
     },
     "execution_count": 2836,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f77a2570cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(train_r)\n",
    "plt.plot(test_r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2837,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f77a2862e48>"
      ]
     },
     "execution_count": 2837,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAETCAYAAADecgZGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f77a251e9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "asset_data[:,normalize_length:train_length*batch_size+normalize_length,'diff'].cumsum().plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2838,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f77a24df518>"
      ]
     },
     "execution_count": 2838,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAETCAYAAADNpUayAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd4VFX6wPHvSSedVCAhlNCrSKSqgA0EFbviWth1xd52\nXcu6a9t11/Jby7p21t7XiooVQURA6b0lEEIaKaT3ZM7vjzPDTELKpM1MkvfzPHlunXvPBPLOmXPP\neY/SWiOEEKJ78XJ3AYQQQnQ8Ce5CCNENSXAXQohuSIK7EEJ0QxLchRCiG5LgLoQQ3ZAEdyGE6IYk\nuAshRDckwV0IIbohH3fdOCoqSg8cONBdtxdCiC5pw4YNeVrr6JbOc1twHzhwIOvXr3fX7YUQoktS\nSh105jxplhFCiG5IgrsQQnRDEtyFEKIbclube2NqampIT0+nsrLS3UVxq4CAAOLj4/H19XV3UYQQ\nXZRHBff09HRCQkIYOHAgSil3F8cttNbk5+eTnp7OoEGD3F0cIUQX5VHNMpWVlURGRvbYwA6glCIy\nMrLHf3sRQrSPRwV3oEcHdhv5HQgh2sujmmWEEEI0bk92CY9/s8fp81usuSulXlFK5Siltjdx/DdK\nqa1KqW1KqdVKqfGtKG+X9dRTT1FeXu7uYggheog316by/a7DTp/vTLPMa8CcZo4fAGZorccCfwNe\ncvruHk5rjcViafRYW4J7bW1tRxRLCNEF1dZZ2JVVzNJtWaxLPUJOcSUFZdVkF1WitT56XmlVLXuy\nS6izaJZsyWRreiHPLk/mrbVpnD4q1un7tdgso7VeqZQa2Mzx1Q6ba4F4p+/ugVJTU5k9ezaTJ09m\nw4YN3HnnnbzwwgtUVVWRmJjIq6++yiuvvEJmZiazZs0iKiqK5cuXExwcTGlpKQAffvghX3zxBa+9\n9hoLFy4kICCATZs2MX36dEJDQ0lLS2P//v2kpaVx2223ccstt7j5XQshOsuhI+Wc++zP5JdVN3nO\n2LgwYkP92ZZRxOHiKgD6hQWQWVS/Y8XZ4/ux2Mn7dnSb+9XAV00dVEotAhYBJCQkNHuhBz/fwc7M\n4g4t3Kh+odx/9ugWz9u3bx+vv/46Q4YM4fzzz+f7778nKCiIRx99lCeeeIL77ruPJ554guXLlxMV\nFdXi9dLT01m9ejXe3t488MAD7N69m+XLl1NSUsLw4cO5/vrrpU+7EN1IbZ2FwooaIoP8ePuXNPLL\nqrnmpEFEh/gzIaE3afnlvPtrGkH+PvQLD+Dr7dnsyirm1JExDIsNYfOhQkqrahneJ4Qf9+YyvE8o\nd585ghnDWswXdlSHBXel1CxMcD+xqXO01i9hbbZJSkrSTZ3nbgMGDGDKlCl88cUX7Ny5k+nTpwNQ\nXV3N1KlTW329iy66CG9v76Pb8+bNw9/fH39/f2JiYjh8+DDx8V36C48Qwurjjek8/OUu8suq8fPx\norrWwumjYrl33qij55wwMIILJtr/5v95/ji01h3aU65DgrtSahywGDhTa53fEdd0pobdWYKCggDT\n5n766afz7rvvtvgax3+Uhn3Ubdez8ff3P7ru7e0tbfFCdAFaaywa0gvKSS+oYGdmMcWVNYQH+pFZ\nWEFJZQ17Dpey5VAh/cICOGloFAfzy8korOB301sekNjRXaDbHdyVUgnAx8AVWuu97S+S55gyZQo3\n3ngjycnJDBkyhLKyMjIyMhg2bBghISGUlJQcbZaJjY1l165dDB8+nE8++YSQkBA3l14I0VHKqmq5\nbPEvbDlU2OQ5saH+RAT587vpg7jrzOH4+3hjsWjqtMbX2/VDiloM7kqpd4GZQJRSKh24H/AF0Fq/\nANwHRALPWT95arXWSZ1VYFeKjo7mtddeY8GCBVRVmYccf//73xk2bBiLFi1izpw59OvXj+XLl/PI\nI49w1llnER0dTVJS0tGHq0IIz1VRXUeAr1eLtebb39/MlkOFXJLUnyExwcT37kVeaRUTEnpz6Eg5\nw/qEkBgdfMzrvLwUXrhnUKJy7ILjSklJSbrhZB27du1i5MiRbimPp5HfhRCda2NaAec/t5rfTh/I\n+PhwpiZGEhsaQHFlDYVlNWzLKMLHW6G15rq3NjJreDSv/naSu4uNUmqDMxVoGaEqhOgx1qceYXVK\nPgXl1by11kxo9OrPqQAMjw1hcHQQX23PbvS1d505wlXF7BAS3IUQPUJheTWXvLSWOovG38eLEwZG\n8MA5o8kvrWbt/nyeX5HCnsMlAFx78mDGxYezO7uYvNJqbj5lCP3Ce7n5HbSOxwX3ju4O1BW5q6lM\niO5s7f4j1Fk0/70qiVNHOoz0jIWpiZGcOyGOA3mljI8PJzLY9GibN66vm0rbfh4V3AMCAsjPz+/R\naX9t+dwDAgLcXRQhurySyhpq6zQv/7Sfb3ceppevNycNbXwg0KCoIAZFBTV6rCvyqOAeHx9Peno6\nubm57i6KW9lmYhJCtM9t721m2e4cAHoH+nLdjET8fDwu03mn8Kjg7uvrK7MPCSHapM6iSTtSTlVt\nHbklVXyzI/toYL9y6gD+PHckAb7eLVyl+/Co4C6EEG1hsWiu+O8vrE6pP0B+cHQQ/3fReI5P6O2m\nkrmPBHchRJemtebeT7exOiWfhdMGMnlQBABj48OI7x3o5tK5jwR3IUSXtD2jiPWpR9iaXsTHmzKY\nNCiCu88c0aOaXpojwV0I0eVkFFZw1jOrAPDxUozoE8Liq5IksDuQ4C6E6FLKq2s59V8rALhhZiK3\nnTasx/SAaQ0J7kKILsFi0dz07kZ2ZhZTWWPhtJEx3HHGcLy8euaYmJZIcBdCeCyLRfP8jynklVZR\nVFHD0m0m78vQmGD+vWCCBPZmSHAXQniszemFPP7NHgL9vPH2UgyJCeazG6cT5C+hqyXyGxJCeKyN\nBwsA+PFPs4gO8W/hbOFInkIIITxW2pFyQgN8JLC3gQR3IYTHSi+o6NEDkdpDgrsQwmMdyCtjQKQE\n97aQNnchhEd5a+1Bsosq+W7nYQ7klXHhRMmQ2hYS3IUQbmexaP6xdBdrD+SzPaP46P4Th0Rx9rh+\nbixZ1yXBXQjhVhXVdVy2eC2b0gqZPCiCM0bFMqJvKENigjlnvAT2tmoxuCulXgHOAnK01mMaOa6A\np4G5QDmwUGu9saMLKoTomrZnFHH7+5sprqxh4bRBXHvyYL7ans3dH23liqkDOJhfzuZDhdx95giu\nPXlwj52FraM5U3N/DfgP8EYTx88Ehlp/JgPPW5dCCMGjX+8mq6iSuPBePPr1bv7zwz7KqusAeG5F\nCgDXz0zkuhmJ7ixmt9NicNdar1RKDWzmlPnAG9rM6rxWKRWulOqrtc7qoDIKIbqQn5Pz+GhjOmgY\n2TeUtfvz+d30QVw+ZQBLtmTy9fZstmUUcf/Zo6izaHy8FBcm9Xd3sbudjmhzjwMOOWynW/cdE9yV\nUouARQAJCQkdcGshhLuVVtXy4o8pfLU9m1tPHcpfP9tOeVUdQf7efLwpA4DpQ6LoHxHIjbOGcMNM\nU0OX5pfO5dIHqlrrl4CXAJKSkrQr7y2E6HhfbcviDx9soaLGNLPc/O4mAJ7/zfHMGdOHjMIKaut0\nvb7qEtRdoyOCewbg+J0q3rpPCNHNfbwpg4qaOp77zfEkRASSml9GgI83s0bEoJSS0aVu1BHBfQlw\nk1LqPcyD1CJpbxei+8sqquC7nYeZO7YPc8f2BWBMXJibSyVsnOkK+S4wE4hSSqUD9wO+AFrrF4Cl\nmG6QyZiukL/trMIKITzHtvQiAKYlRrm5JKIxzvSWWdDCcQ3c2GElEkJ0CbmlVQCcNjLWzSURjZER\nqkKIZpVX1xLoZ0KF1podmcWUV9cdrblHBvu5s3iiCRLchRBNWp96hAtfWMOkgRH0DQ8gp7iKNfvz\njx7vGxaAr7ckl/VEEtyFEEe9tfYgKbmlR7e3HCoEYH9eKTkllSiluPXUoUwaFAFAQoT0hvFUEtyF\n6MHSC8rJKTFt5+VVdfzl0+0E+HrVq42fPiqWl69MclcRRRtJcBeihyqvruWMJ1dSbs3zYvPBtVMZ\nFx/uplKJjiLBXYgeauPBQsqr67j7zBGM6BMCQEiArwT2bkKCuxDdnMWiWXsgnxB/X8bGh7ExrYBv\ndmSz5VAh3l6Ky6cMINhfQkF3I/+iQnRzT3y3l/8sTwbg+z/M4J9Ld7H+YAF+3l7MHh0rgb2bkn9V\nIboprTU1dZrvdx0mJsSfnJIqTnviRwB+N30Q9509ys0lFJ1JgrsQ3VBFdR2zn1pJ2pFyAG6YmcjA\nqCDSj5Tj5aW4WPKnd3sS3IXoRv78yTaWbM6kzqKpqKlj3ri+DIsJ4eIT4ukb1svdxRMuJMFdiC7K\nYtEUVtRwIK+UsXHh7Msp4Z1f0jh5WDRDY4KJCPLjuhmJeHv1kPzplcWw71sYcwFIzngJ7kJ0Vb9/\nYz0/7M45uq0UhAb48MyCCYT18nVjydzki9tg+0cQNRT6jnd3adxOgrsQHqKiuo4/fLCZwvKaFs8t\nr65lS3oR54zvx7j4MArKqwGYOjiqZwZ2gIyNZpm5SYI7EtyFcLuyqlrW7s9nV1YxX23PZkxcKIG+\nTf9pajQZhZUkRATyt/ljCAvsocG8KZvegokL3V0Kt5PgLoSbPfndXhavOgBAoJ83H1w79WiKXeEk\niwWKrbN7pq+D5GUw5FT3lsnN5H+QEG5ksWi+2JrFSUOjuGvOCKKC/SWwt0XpYairhsBIKM+Hg6tN\ncC84CLVVED3M3SV0OUnELIQbaK1ZvieHnVnFZBdXcu5xcYyJC6NPWIC7i+b58vbBV3eb2rpNYZpZ\nnvcihMZDUTrU1cDT4+DZSe4pp5tJFUEIN/h0cwa3v7+FKYNNXvRhsSFuLlEX8s4lcCQFJl8LEYPM\nPltwD+sPYfGmiSZ1lfUF2tTeffzdUlx3kZq7EC62bNdhbn9/CwC/HjgCQP8IGWDktFJr98/8ZPu+\nIymAgt4DICwOig7B6mfsx7+7D7R2aTHdTYK7EC6kteb/vt0LwOh+oUwaFMFlkxN6bvfFtqguMcu3\nL4SaSrOetgbC+4NvL1NzL0iFlGX21/zyAmRvdXlR3cmpZhml1BzgacAbWKy1fqTB8QTgdSDces7d\nWuulHVxWIbqkOos+Okp0R2Yxu7KK+dv80VwxdaB7C9YdvH85zLwH9q+A435j9oXG24/HTYSMDWa9\nJLtH9X9vseaulPIGngXOBEYBC5RSDdPJ/QX4QGs9AbgUeK6jCypEV5SWX87o+7/mjx9sQWvNp5sy\n8PP24pzxce4uWtelvO3ryd/B4lPM+rhLzDLMIbhf/jH0Ms81jrbL9xDONMtMApK11vu11tXAe8D8\nBudoINS6HgZkdlwRhei61qUeobLGwkcb0zn+b9/x/vpDTBsSKQOP2sO3iUm5Y6x1zjCHD86AMPhT\nMoT0ha0fNP66jW/AgZUdW0YP4ExwjwMOOWynW/c5egC4XCmVDiwFbm7sQkqpRUqp9Uqp9bm5uW0o\nrhBdy97Dpn149uhYCsprKKms5ZQRMW4uVRfnFwjD58J9BSZJGMDCpRAcbdbDHNIZKwVe3qbJJmMD\nVJXWv9bBNbDkZnjrAteU3YU66oHqAuA1rXU8MBd4Uyl1zLW11i9prZO01knR0dEddGshPFdWkUkT\n8OIVSbx19WT+NHs4Fxwf3/ILRdNqKiB8AHh5wdn/hgXvwcDp9uOBETB4Foy9yL4vcRboOnh5Vv1r\nHbR2l6yrhrL8zi+7CznzQDUDcMzsH2/d5+hqYA6A1nqNUioAiAJyEKIHyympJDbU9K8+cWgUJw6N\ncnOJuoGactMrBsA/GIafeew5V3xSP+3vgOngGwR5e6HcdD+lPB9++Lv9nC3vwLRGGx26JGdq7uuA\noUqpQUopP8wD0yUNzkkDTgVQSo0EAgBpdxE93uHiKmJCZNRph6mrAUtt0+3uNg3zuSsFF/7XrB/Z\nD48Pgf8kme1pN0PUcIdBT91Di8Fda10L3AR8A+zC9IrZoZR6SCl1jvW0PwLXKKW2AO8CC7XuYSMG\nhHBwML+MgrJqUvPLSIwJdndxuo+aCrP0bcMHZpD1WUf2NtNEY3PG36HPWMjZCcXdpy+IU/3crX3W\nlzbYd5/D+k5gesPXCdEdVdbU8ZdPtzNndB9OGxV7zPEthwqZ/+zPR7enJ0a6snjdW7X1gWhLNffG\nBFmbxL6/375vxl1mGdLHdJV8YiQsWgH9JrSnlB5BcssI4aT9uaVc9vIvHC6pRGv4cEM60xIj0dp8\n6x8bH0Z0sD+bDxUCcMWUAUxNjGTyYAnuHabQ2nEvrA0TfAdba+6VRWa5aAX0sQ5qCnLo4LHvu+aD\ne20V/PoyJP3O9NzxUBLchXDSz8l5ZBdXHt0eHx9Gda0FpSCvtJrVKfbeFonRQTw0fzRK5vJsP4sF\nfvoXDJhmz9nee0Drr+PbC/zDoMoa3MMSTI8bsAd+gPyU5q+z63P49l5Tljn/bH05XESCuxBO2nvY\nNAksnDaQ4X1CWDApod7xksoabA+aevl6S2DvKDk7Ybm1V8tJd5hlaBtH+P7uK3h+mlnvFW7fnzDF\nNPXUlMPW9+C8FxqfZFtr2P2FWT/wk1mW5cFnN5lmnzHnQ+IpbStbB5PEYUI4QWvNnsMlJA3ozQPn\njD4msAOEBPgSav3x9ZY/rQ6Tt9e+nrUZfALAL6ht14odbV/3ckhjEDEY7s2C0eeZ7ZQfGn/9xtdh\nxyf2cpXlm+yTe7+CTW/Cm+eZmr0HkP+BQjjh7P+s4tcDRxjWR/Kuu1zuHvt69jYz21J7vhX5NJNe\ned4TZtlYt8g9X8Hnt9q366rgmz/Dz0+ZD4U/7jFle/9yeGM+vH62mQnKTSS4C9GCqto6tmcUM3N4\nNDfMTHR3cXqevD3gZc3FU3rYjEBtj9t3mJ/GBEaYHDU5O+HwTngkwd4Gv/X9Y8/f+p5Znvwn0+Pm\nwlfAy8dkqTyw0iQ2A/j3BPj0xvaVu5UkuAvRgvzSagBmj+5DfG/P7R3RbR3eaeZDDelnttva3m4T\nFFk/c2RD0SMgdzdsesv0rNn8ttlflgf9p5j1kH72cpx4u725Z/BMuHkjXL/aJC3L3g611Wbg1Oa3\n2lfuVpLgLkQLbME9MsjPzSXpgSoKTNt2XBL4W5vERp7T/GvaKzzBDGayTQpSmgN5yZD6k8lBc90q\nuHYl9BlnjvceVP/1vQeYYB871tTebQ9gXUyCuxAtyC013R+jQnrWHJwdrvwIpP3Sutfs+x7QMHiG\n6XbY73gY1TDjeAcLjTNBPHu72S5Mg5+fNOuxo81o1uBoOOtJ09Y+fG7j14kdbab/+/C39n3V5cee\nZxt128EkuAvRgoP55g8yIUKaZNrl81vhlTNa7kfu6PA28PYzMyoNORUWLTfJwjqTLR981mazLDwI\nJYchOBbOfMx+XmhfuOg1e6rhhiZdY5KVOfpHX/j+QdPUlPIDPDsFHu4DG143D1+3f9Rhc71KP3ch\nmqG15sMN6YT4+0izTHsVHDDLtc/DvP9z8jUHzWhUx26LnS3U2ravLWZZlG6CdL8JrRuRGjUU7s2E\nz2+DiiOw8zOzf9UTsPY50yZfetjs+/wW++sCws0HWWPqap2+vdTchWigrKoWW967tfuPsCOzmN+d\nOEgGJbVXhUnLQOZGs7Sl3m1OYVrbRqO2h+McrIGRJgtlzg7TG6Ytzn4Kzn+5/r7aSntgj0uqf2xP\nE9NPVxTA44Odvq3U3IVwkF9axbRHfqBPWAAJEYFkFVXi7+PFdTOkC2S7VJVCkTUvTO5eePsi2Pet\nCXrjLm76dUXp0GeMa8poE+iQC2jiQpP6ACC4jcEdwMffNOH4BpoPi/cus19/3hNgqTMfZN/cA3u/\nhdhXTFPQpGvsCc+yttjz4jhBau5COFiyJZOqWgsH88v5aV8eqXll3HLqUHr5ubBZoDt64USzHDzL\n9ELZ963Z3vZh06+prYKynLYlCWsPL4ewOP02028d2l5ztxl9HgybDSPm2ffFjDZNTj5+EDXEdKUs\nSoMvbocfH4GXZtqfUdge8DpJau5COPhhdw6J0UEs++NMKqpNzm8J7O1UXW5vb5+4EPYvtx+rrWz0\nJYA9SVh7+7W3xUWvmWAaEAqBUVCa3f7g7uiEa2DdyzD0tPr7G+alKToEH11tMlge3m799lDs1C0k\nuAthVVpVy9r9+fx2uum3LEG9g9h6nUxcCMPmmFS5fceb1LrN9ZwpSjfL5gYcdZbR59nzzJz9NKz4\nR8fmeJ/9DzP4KazBB1fMSNOHPmoY5Cebbzz5+00Pmuzt1iaqvY1esiFplhE9Um2dhdo60xvCYjEP\nT7/YkklNneaUETHNvVS01iFr3/ZT/mpmUDrrSRPog2PsDxUbU2StubsjuDsaPscE3I6sufv4HRvY\nbfqON+mJ+4yFOY+YFMWfXGe6hcY6//xBau6iR7rt/c2s3JvL8D4h7MgsZmTfUDYcLMBLQdKA3u4u\nXvey7SNT6w1qMDl4cB/TRbCmwj7htaOM9SYDpDuaZTxF9HCztOWwGeD8hHcS3EWPkVlYwb++3Utl\nbR1fbs0CoKyqjpo6C95KMSEhnOtmJOIj6Xo7TnGWqXGe/tCxxyKtPZBy90C/4449fnA1DDq5bfOl\ndhexY+3r4QOa7v/eCAnuosf4YmsmH21MZ2BkIOP7h/PqwhOI6M4Dk3L3mh4X859zX4A88KNZDp51\n7DFbE8OqJ+DiN449XpJlZl/qyYKjTT/4jPVw+cetGswlwV10SxaLxsur/qCj3VklxIb6s+JPjQSa\n7uiL2+HgKjj+StPFrjHVZSa/uVcrvq0cXGMGFtlGcjZn/wrTb7yxtuKYESb5Vl7yscdqKs2gnfb0\nLe8uLvvApCqIGtKqlzkV3JVSc4CnAW9gsdb6kUbOuRh4ANDAFq31Za0qiRBtpLXmf+vTKauuZeXe\nXI6U17DlUCGDo4JAmVS9d80Zwc4s07beY9SUmeWR/Y0Hd0sd/KMfTFoEcx937ppaw6tzTPfAO5vo\n6ZK8zDxEPflOSP0ZBp7U9IfH4Jnwy4smLa6Pw7eokkyz7MiHmF1VUCSMu6jVL2sxuCulvIFngdOB\ndGCdUmqJ1nqnwzlDgXuA6VrrAqWUdDcQLmGxaLakF3LnR1uPOTayXyipeWU8vyKFt9YepKSylhnD\nm0jy1B1YLKYPecIUMw1dpbU/9Be3w8j5Jkg4Ksk2y19fcj64l1snAS/Pa/qc934DtRUQOcQMyJl4\nVdPn9p8Eq/8NqSthiEOfb1sXycjW1VaFnTM190lAstZ6P4BS6j1gPrDT4ZxrgGe11gUAWuucji6o\nEI6Sc0pYnZLPU9/vY0CkSeY0ul8oN58ylISIQEb2DUEpRU5xJYtXHTj60PTyyS7OU+IKVaUmydXa\n501/7KTfQcZGk27WJnsL9D2u/ixGtn7krVGY1vzx2moT2AF+fNQsHectbWjwTPMt4NfFpm+3T4Dp\nIrn7S3M8aljryygA54J7HHDIYTsdmNzgnGEASqmfMU03D2itv254IaXUImARQELCsRMMC+GM5btz\n+O1r645uHymr5vwJcTxxybE9LmJCA/jz3JGuLJ5r5SXDC9PNBBMl1j7j61+xH5/3L/jyj2biZoBb\nt0DvgWa9sA3zezbXLx3MQ1Cb/GQI6QtDTm/6fP8QE+AP/QpPjQW/YDMac8OrcMLvj/22IZzWUX2+\nfIChwExgAfCyUiq84Ula65e01kla66To6G789Vh0qmW77QHmb/NHs/8fc/nXxePdWCI3Sd8A/5lo\nhvDn7TWDXa741H58+q2QdHX93CxZDs1Xh225SlTzOcTzU8yHQ1l+/UyOjb2m2NpWHmjt0x43Ebxb\nqEPGjDTNNwDVpZC21qxPvq7514lmORPcMwDHzD3x1n2O0oElWusarfUBzPjYoR1TRCHsVu7N5ce9\nuUwc0JuPrp/GpZMS8PJSPTMd71d3Asr0hgHoPxkSZ8Gl75hsi6c/BErBxa/D1JvMOXl77K8/bJsk\nWjef4+V/V5neGqkrzaAjm7qaY8+15YM58XaznLiw5fcR0+CbVUEqKC+IcD69rTiWM8F9HTBUKTVI\nKeUHXAosaXDOp5haO0qpKEwzzf4OLKcQ7M4u5spXfuXQkQqOTwhn4oDe+PbUAUfFWabv8yl/gXOe\ngYVL4YpPzLER8+qn0Y2bCLMfNl0Sk5eZfbZcJTa2XOsNaQ3Z28x6SXb9mntNuWmDX/Go6VIJ9uB+\n/JVwVyoMbaZJxqZvg+a0ggOmrK6coKMbavEvQ2tdC9wEfAPsAj7QWu9QSj2klLLNVPsNkK+U2gks\nB/6ktc7vrEKLnunnZPt/qZnDe3iHrL3WR1q2+TsHTjc9ZJpTng9pa0yN/cFwk+mw/xRzrKlJnKsc\nMhAWHISyXPt2TYVpJ1/xD3jrAjM/atYW6NXbZFPs5WQah7A4k5zLNtApc7O9WUe0mVPVHq31Uq31\nMK11otb6Yeu++7TWS6zrWmv9B631KK31WK31e51ZaNEzrUnJY0BkIKmPzGP6kC7yx5+5CZbcDKW5\nLZ/bGvu+Mw9RGzZpNKfPOLPc/I5938l3QPQIWPVk41O4lTg8QC1INakCjh7LtK+nrTHzo27/CMZd\n4nyZbCYuhFn3mvUjKcfmoRGt1kO/04qu5IutmTz1/V5+2X+EqYO7UO+JbR+ayRY2vmFqtx0pb69J\nxtWaZw3XLAdvf3tvmoSpJhHVmAtMc8qPx4xNNLV7AP9QE9xzdpmJosHerDPnkfojSU+4ptVvBzAj\nVm3Gtn7QjqhP0g8Ij1JZU4eXUvznh33E9e5FeKAfN72zCTBx7IzRsW4uYSukrrKvl7TQhdBZlUVm\n1GfhQefasx15+0DfcZC+DnpFwG+/Mr/U4y6D5Q+bJpWGbAOdEmfZJ3gedDLs+dLeFp94Kky5Hr6+\nx4wobeUw+aP8Q+D+QtN+7x/ctmuIoyS4C5epqq2juKKWYH8fDhdXknaknNBevkQE+pEQGciRsmrO\nePJH8kqr670uJsSf/103ldjQAAJ8u9BDtppy+3rRoabPa4qlzgRzx4FH3z9gr3mH9G39NfuON8E9\naqi91h/jzOK8AAAgAElEQVQWb3raNNZjxta1cfqt9uA+8EQT3NdZJ3229Zuf88/Wl6chpSSwdxAJ\n7sIlckoqeeSr3Xy8sWEvWsPP24tq6+QZIf4+XHPyYOLCe1FeU8fUwREMiGzhYaGnSF5mkmWd8TcT\nmPuMMzXddYtNsG6uB0hxphk12u94U8tet9h0d7x2pQnKYJpGAOJPgFHzW18+23UcP3jAJAGz1cQd\nlWSBX4jpcXP2v817GzHXTORs49ONM2t2YRLcRaf7Zkc21721oclxMiP6hDBjeDSBvj5MHhzB5EER\nXbff+v8Wmh4mYy4wwT0gzEy4UFtpug1GDGr8dQWp8LQ18I482wT4ZQ+a7Z+fNrPyHH+VyXE+4XKY\n/2zbyhc30SyLs+rvD4ys383RpiQLQq3fECZeZX5qHGr4szugti46hQR30elW7MlBAU9cMp5piVHE\nhgaQU1xJndb0DWtkBp6uzDfQBPeXZpjtEWeZ3ihgepo0FdwzN9vXd31ufmy2f2R+wHxIjLu07eWL\nHmGG+0+7uf7+Xr2hstAkH3PM4FicdWxmRltu+NgxMPWGtpdFdCrpLSM6XV5pNcNiQzhvQjyxoSYw\nxIQGdJ/AXldrr81aGozaDAi3J79yHB3aUM4uszx/sX3fhCtMOl6b9a+aZd92pFrw8oYrP6ufgRHM\nA1ZtMSkMHJVkQ0gjedtv3WIeyAqPJTV30enySquICvZ3dzE6Xlk+ZGyAb/9iAuO5z9tT4tqExEKv\ncNN9MK+ZWetzdkJEIoy9EDI3mlS3J1xterD8+jKgTQ8Zv2AzQKij2QYcVRTY1y0W0yzTWE5120NU\n4bEkuItOl1daxYCEQHcXo2NpDY83yH3y39OOPc/WoyU4FsqayYGevc2kxlWqfq+TvuPh3mzTzJO7\nG4I6KeGeY3C32fOl+SbizIxLwuNIs4zodPml1UR2p5r7oXVm+H5jGs4Faqv1BkY0/sASTNNHwQHT\nHbExvgHQ29pWH9xJaRds3S3Xv2p66fzyIrx/udknsyF1SVJzF52qvLqW8uq67tUss+oJ+/o5z8DQ\n2ZC22ozSHDDVjBzNNAOvjj5M7RXR9OQYa6w9Xxq2gzuyPYgN76R5EGw1901vmp96907snHuKTiU1\nd9Gp8krMgKTI4G7UF7rS4aHjgOmmXX30eSawg5lsYrx1CmFbYAyMOLY9HszI1bXPwejzIXZU0/eM\nP8Esm6rdt1djSb4CI+GGtdCnkcmthceTmrvoVOmFZrBMTEg3qrn7BNjXm8p8eM4zMPcxe7fC8ATT\nnl2WVz8pVs5OsNRC0m+bv+eY86H3ANP9sDMEODQz3bYNXpsH025pXWIy4VEkuItOUWfRVNbUsfin\nA/h6K44f4GT61y7BYTRWQBNt794+4B1i345LMsvMTfacMLuXwnsLzHq4E3O72gYgdQZvHzjtATMB\nR3iCCfCiS5PgLjrcl1uzuP39zdRYLGgNN85KJDTA193F6jhVpfZ1LydbNsPizLLUOnf8oXX2wA4Q\nGtcxZWsP2+xJoluQ4C46VEZhBX/+ZBvVdRb8fby4KCmeRSd1swdy1WUQMwrO+Lvzrwm0pirO2gJV\nJfD1XfZj4xe0PM+oEK0k/6NEm/310+2cPCyauPBepB0pIyW3jMe/MaMwH7tgHBef0L+FK7RByWHT\ntOHtC0NO7fjrO6O6xDxIbc39/ayZDn99sf7+OY+YdLlCdDAJ7qJNsooqeHPtQd5ce7De/qhgP/5+\n7hjOGNVJfaP/Ncy+fvtOe3OHq2gNlcUtT2nXUFOJ0CSwi04iwV20yZoU063PS8HYuDBuPmUo/cJ7\nMTg6qPNyrhdn1t9O/QnGN5FES2vT/NHRQ/XT15sEW/0mtP0aV34Gb8y3zxkqRCeQ4C6c8tLKFEb1\nDWNsfBihAT6sScknPNCXjX85HS8vF6Xn3fJu/e0DzQT3ja/D57fCLZubzsTYFkVpZtmeniv9JsC9\nh8FL/vxE53Hqf5dSag7wNOANLNZaNzLZIiilLgA+BE7QWq/vsFIKtzp0pJx/LN19dDsq2I/iylpO\nGR7T8YH963tMt8Ap19n3pa6C7x+E9F/N9v2F8M7FsPkt0w970jXw7qUw426ITzKZDzdbPwj2flP/\nWu1lSyHQK6L58xoz9iLY9j8zH2lXzVcvuowWg7tSyht4FjgdSAfWKaWWaK13NjgvBLgV+KUzCipc\nK7+0ilXJeSTnlLIrqwSA304fSESgHwfyykDBFVOc6JvdGrVVsO6/Zp5Px4D8xrn1U+kqZXKS7/sW\nvr3XTIiR8oP5iZtohvmXWucs3fu1GSDk00GDqGyJtZoavNScc1+Aef+SwC5cwpma+yQgWWu9H0Ap\n9R4wH9jZ4Ly/AY8Cf+rQEgq3uOHtjfxywNRSvRScOCSK+88e3bk3zdwMdVWQt8+0mStllo6B/UZr\n7X3StdD3OHhtbv0eKBkb6l9z/3J4Jglu29r+oKq1mUga2ja1nLcPeIe1rwxCOMmZ4B4HOM7umw7U\nS3ChlDoe6K+1/lIpJcHdw5RV1bIto4jqWsvRfUNigukX3vhkGeXVtfxy4Ahx4b347KbpHZf0q6oU\nvvkzzLy78TSyaWvMsrLQ5GEJioKt79c/J3q4WXr7wMDpENbfPvenX4jppjhohnlouewhk+SrKM18\nYEQPo12ay8cuhIdp9xMdpZQX8ASw0IlzFwGLABISOim7nTjG9W9vZOXe3Hr7vL0UN84aQu9AXxZM\nSiA5p5SiihpyS6ooqjA15XvnjezYbI77V5gHnbl74Opvjj2etta+/uLJJp9Kzi4TwGc/bNqqG4oZ\nCUWHIDAK7kwxPWoCo0wtfcB0ewbHfd/WD+62bwatcXi7WV6/unWvE8INnAnuGYDjaJR46z6bEGAM\nsMI6qXEfYIlS6pyGD1W11i8BLwEkJSU1MV2yaCutNd/uPMzofqH8uDeXb3Yc5g+nD2PVvlxmj45l\n0clmcomfk/P597J9/HvZPgAe/LxhC5sxsm8HdyMsOGCWh9YeO1dnTYXp2jhsjmknL86A1c+YY1Nu\ngFHzG79mwlQTuL2tzSSO3wiGngb3FcArZ5imm6k3moBeVwsvnAgRg2HBO86Xv8j63z4s3vnXCOEm\nzgT3dcBQpdQgTFC/FLjMdlBrXQQcTXOnlFoB3CG9ZVxvw8ECrn2zfpuzrcZ+y6lDGd3PtPdOHBDB\nzacMQWt47Js9/Hogn1NHxjKiTwhRwf54eylCAnwYENnKgTotKXRo3fv493DhK/bt5O+huhQmXweH\nd5jaeK8I8wBz3CVNX3PshbDsQZh+S+PHvbzM8P4v/wBH9kNkIhzeBrm7zE9ravDFGabpJ0DazYXn\nazG4a61rlVI3Ad9gukK+orXeoZR6CFivtV7S2YUUdhsOHiE80I/E6OB6+1en5HHTO2aCiFtOHUqA\nrxdRwf5orYkM8j8a2G2UUigFd585wmVlp8JhJqLtH5mJo/uMhRHz4OAa8OkFA0+ChV+Y7o/jLjGz\nFIU3k8YgPAHuSbcP729M3+PMMmsLLP+HadO3KcuDYCemrkvfAL+80Hkpd4XoYE61uWutlwJLG+y7\nr4lzZ7a/WKIxe7JLuOD5NYyNC+Pzm09kf24p4YF+LP5pP8+tSCEkwIdPbpjGhAQPS69bUwGFaeYh\nqV+wqaEDrLDOFWqbuSh6pHlQ2nugfQLm5gK7jX9I88djrB9gq56E7K31j5VkOhfcF59iLY88KxJd\ngwyR83D3f7ad19ccJNjfh9KqWgB2ZBZxxpM/svdwab1z/zR7uOcFdoAfH7M/2BxyOpzyFzPhs41t\nSjrHSSw6kl+Q+bBwDOwnXAPrXoay3CZfdpTF3suoybZ/ITyMBHcPll5QzutrTGKuMXGh5JRUcSCv\nDIvmaGC/cVYikwdF0jvQj1H9OvgBaEexPUgFE8Cbmt2nMx9UxoyGglQz+Oj3y8y+dS+bZpmWlGab\n5bx/NZ3uQAgPI8Hdg9RZNN5eiv25pVTU1HGztQ39v1clcerIWACqauvYeLAQpSBpQG98vLvANLiO\nAbRXbzNatPdAE2zBdF2cuLBzMyTaetEMnmkeqtrmQXUmuB+xfjj17sAcNUJ0MgnuHmJ7RhGXvLiG\nkABfsosr6x07aai9Tdjfx5upiZGuLl77lOVC1HDI22N6t4CpPRekwitzYP6zMHxO55Zh3CWmH71t\ngg3/UNN90plmmWJrF0hnpsITwkNIcPcQL63cT1l1HScMimD26FhCe/mSXlDBH6ZH4ldbCj4e2uTi\njNLDMOYCuOlX+76gKPNznxM1547Q/wS4fpV9WynzjcGZmntJllmGxHZO2YToBBLcPcTqlDwuOD6e\nf108vv6Bf8SbfCt/daKG6Ylqq0xf9WAPDIxBUVDuTHDPNv3bW+qVI4QH6QINtt1fYXk1eaXVDO/T\nSF/t6hKoq7anmu1qbM0ewTHuLUdjgqLt2SMd6QaDp0uypNYuuhwJ7h4gJbcM4JiBSdTV2tdteU08\nza7PIT+l6eMl1uAZ5IHBPXq4yV1T4/CMI+UHeDAcDjukZCjJhpC+ri+fEO0gwd3NiipquOB5k4jq\nmOD+7V/s68nfm2V+Sv1h/O6Uuwfev9wk+SpKr39s24fwcD/74J+Iwa4vX0sSpkBtpUlDYLPjU7N8\nfqr9PRVlQEgnzQkrRCeR4O5mn26y52CL7+2QgtdigV+et2//8hK8uwCeOR6e8pAh8LZUu9Wl8ORo\nWO+QK2bz21BTZt/2xOBuK9NbF8CXd5j1Oofc8bm7zZypRWkQkej68gnRDhLc3Wzxqv0ALL3lpPp9\n1nd+al8ffR7UVsCepThNa/OBUJxpAtZbF8KuLzqo1Fa2XiQ2B1ba10tzIS4JZv8T5j/XtsktOput\na2N5vhnQVFdj3lOQtevpkQOm2Ul5waRF7iunEG0gwd2NsosqOXSkgr+eNerY0aUHHXKGT7ji2BdX\nlx27z1HBAfjqT/DeZWaiiuTv4P3ftL/QNlqbRFwAp/wV+k8xzRi11fDry+YZQfwJMPUGmNCB9+1I\nAQ1+5/nJ5gFwn3Fme+kd8PNT0H8yBHWxsQWix5Pg7kYfbzJtuicPbSSnSrFDyvyEKXDnAbgnAwKt\nQebI/qYvfOAnWPGoWc/cBDkODwd3fd7OUlsd+sVM9hw/CU6+AyKHQPo6+Hu0CYpoz2yKaejcF2DI\naWa9ONME97A4iBllP6f/5MZfK4QHk+DeFiWNdJ9rgw/XpzN1cCRDYxvpP11w0GRLXPC+SXwVGAH+\nwWb6ODCTTWz7sPELv/cb2PqefTvlB/v6pzd0SNmPPtSd939mmdBIAIxxYTrhtjpuAZz5mFkvzjSD\nmoJizAjaS942+5vLJy+Eh5JBTK217UP46Gq4/GPT02L43DZNvFxWVcv+vDLOmxB37MHSXMjZYbIn\nNhyWHzXcvv7R1ebntAdhwuVmUI6lDqqK6r9m89sweJb5BrDinyZXeuxoc25bMzHacrOHWss/9iKo\nLDZT41UUmPlS+09q27VdzdYTJnMj6DqTZtgvEEaeBfcXtn9ibSHcQGrurbXvW7N863zTnm2b91Nr\nMy3chtecuszSbeZh5NG2dksdbHzTBMiszWZfwrRjX+jjBzPurr/v+/tNd8TaKjj4s33/8Ln29egR\ncNxlJp/6a/Pg0YHweDt6gFQUmGVAuFn69oJpN5kEXbGjTU2+qwRFvyDwD4ND68y2Y872rvIehGhA\ngntr1dZP6sX7v4GMDbD1fdMv/fNbIdManLO21htZqrVmR2YRWmte/mk/Y+JCmTncOrhnz1JYchN8\n+UczzRxA7CgaNeseeKDIzA969XcmcBdnwN9j4PWzzTnX/AAL3jW1f4DEWSZo3firfWYicK7PvNaw\n6W1I+8W+r/yImW7Ou5t8+QuOMdPvgSQIE92CBPfW0pb62+X5sOIR09PCJj+ZzNQ98OJJVD130tHh\n7P9ddYB5/17FpH8sY+/hUs49Lg5vL2vNcO/XZpm7y9TElZdJj9scLy/T9HFVIw9JbQ8ET7oD/pQC\nw2ab7bA4uOwDSDzVbK98DB4Ih2eSYP+Pjd8n+Xv47AYz0bSth0xZjkm81V1YHEYDywTYohuQ4N5a\ntrwjo+bDaQ+Y9UO/mtq7TXEmhzeYqWX9S9P57ItP+XRTBku2ZAIwpl8oc8f24Zzx/aC63Ayg2fqB\nea1tYFDDD5HmBMfAVQ592O/JMM0kYJoVGrarh8TC5R+ZdviNbwAa8vfBjo/rn5efAsv/CW9faN9n\ne4hbnGXPkd4dnHC1fd3H333lEKKDdJPv1C5UWwlxE+HiN8x2aBx8fA2k/EDFhN/jt/1dCrNSqU7Z\ni0UrvJTm17UrebvODOJZOG0gD5wz2n695O/NABow+UtsA4OubOW84wOmm4eqIf1Mr5qWKAUz74b9\nywFlHrZmb4e938KwM8w5714KeXvN+rSbzYPY1c+Y3jeHt8OgGU1evsuZdrPp316S7e6SCNEhpObe\nWjUV4OOQJmDk2UdXn9hQS2pVKHu2rGFU+XrWhZkg+bDvK/x4dQLL/jiDv8xrMMVc3j77+om329cH\nndy6cnl5mUkvTrnX+dfEWj9kxpxv2u0z1sM7F0Gq9aFsTYVZznvC9MgZeBKg7UnMhp7RujJ6usEz\nYLx0exTdg1PBXSk1Rym1RymVrJS6u5Hjf1BK7VRKbVVKLVNKddsnUoXFxRwodmgy8e0FoaaN9kBt\nJMExA5jmvZMQVUHSuTebuTuBAW+fSGLlzmOnxStMMzMC3ZEMI86y73dFLw3/ELhxnflQiHbok37E\nmuVRaxi/wDRZeHnD6Q/BjLtg5j1w6Tumd4wQwiO1GNyVUt7As8CZwChggVKqYTeOTUCS1noc8CHw\nWEcX1FNk5xeyO6+GgrLqo/ssM+5khxpG4KBJxEaEH93vHTMcfvM/e9fF7x84Nld4Wa5puw6ONg87\nT74TznvRBe/EKnqY+YAaeTb0GWv2pa8z6YZLG6S6VQpm/dk054yY57oyCiFazZk290lAstZ6P4BS\n6j1gPnB0TLvWernD+WuByzuykJ4kUFVRof25++Ot9O8diJ+PFwXlE3i34gGeTBoDodfae74ERpnm\nkln3gKUGfvqX6Yc+8ET7Bcty7YmqoHXNKh0pLA6uW2UyTx5cbVIIWGohaph7yiOEaBdngnsc4NgZ\nOh1oLtnG1cBX7SmUJwv0qqGyzpdV+8z0bJW1FuosmhF9QjhzTF/wsY7YDO5jArvNSX+EXxfD57fB\nTetMLTh3L+xfAcPOdP0baUrMKNj7jb1rZ1dIISCEOEaH9pZRSl0OJAGNdqNQSi0CFgEkJCQ0dopn\nKcs3tVeHKdb8LFUM7hfNjhtMWoDKmjoqqusICfCxt6ffvLF+bRzMKMjJ15p+5aU55prLHjTH4pNc\n8W6cEzXMDMEH8wC13wT3lkcI0SbOPFDNAPo7bMdb99WjlDoNuBc4R2td1diFtNYvaa2TtNZJ0dHR\njZ3iOSwWMzHGs5NMnhSgts5CAFV4+wUePS3A15veQX71H5RGJh6bThZg0ElmacvSWFVilo69ZNwt\naoh9vbv1hhGiB3EmuK8DhiqlBiml/IBLgXqdsJVSE4AXMYE9p+OL6QZVRVBZaH5WPgbFWZSVleOn\n6lDO9CNvTLS1G2SOdVq3ggMw5kLTE8VTRA61rzf2ASWE6BJaDO5a61rgJuAbYBfwgdZ6h1LqIaXU\nOdbTHgeCgf8ppTYrpVo5AscDleXb139+Gj6+hvKyQgC82hrcg6PNQ9acnabXTGkOhHrYxMuOAd1f\ngrsQXZVTbe5a66XA0gb77nNYP62Dy+V+5fn1t/P2UlFiUul69WpH0IsZaebmrCo2o12DY1t+jbtI\nzV2ILktGqDahriyv3raluoIDmWZouk+vRibXcFbMSNMsY8sh48nB3T/M3SUQQrSRBPcmFOaaHC8Z\n2kxr51VdzEffrgDAr7019+pSePsiEzwTprS3qJ2npayUQgiPJcG9CYX5JrifWfUIV1abEabP+f0b\ngH4x7ejpEzvGLGvKYeZd9SeG8DSe9jxACOE0Ce5NqCrOoVL78u+FM3js1oX1jgVHtyMgx020r09c\n2ORpHsEvyN0lEEK0kaT8bYIuyyefUKYPjca3YbKv9kzm4OUNdx8yOcM9NW/46PNMCgIhRJclwb0J\nvcoyyFORxDUM7Fd93v6MjZ7eC+Wi19xdAiFEO0lwb0zBQQaXbeZr/zMYb9t3/WozkUNr86wLIYQb\nSHBvRMXOr+kFZEVOs++MHW2f3EIIITycPFBtRFrydiq0HzXDz275ZCGE8EAS3BvhXZzGIR3NwumD\n3V0UIYRok54Z3Fc+DsseavKwd0U+xd698fPpmb8eIUTX1/OiV3UZ/PB3MytSwynvrAKqC6j0k9GZ\nQoiuq+c9UHXsv73qCdjxKfQeCMdfCUNPByCotpC6oAj3lE8IITpAzwvua561r9uaZrK3wu4v4P4C\ndG0VoZSiGs6kJIQQXUjPapapqYDUVTDSoRdM+ACztOYuL0n5xbrfg3O+CCFEC3pWcM9PBksNjDoX\nYkZDaBxc+RmcdIfJr26xEPquCfz+0YPcXFghhGi7ntUsk7fXLKOHww2rzQNVpSAoCrSFyqJsAqyn\nBg2c2ORlhBDC0/WsmnvaWvANhKhhZtuaIyat2kybF/C0meP0Rct8hvbv45YiCiFER+hZNffsbei+\n4/n5QAnPLt9EoJ83VbUWilIK+dwhQeO0SZPx9/GgSauFEKKVun1w35Ndwtb0QixaMzPzIOuqB3DT\nXvPQNCEikABfL6p6xYPF/pqxI0e6qbRCCNExunVwP1xcyYUvrKakspbfeH/PJb6Z+IZN4a+TRzF7\ndCzxvQPtJ2+3QPhA2PIODJjutjILIURHcCq4K6XmAE8D3sBirfUjDY77A28AE4F84BKtdWpbCpRb\nUsW1b67Hx9uLxOggLjg+nqSBzg8oslg0//puDyWVtSzfk0NVrYV7TwzhmvWvADB78ng4sZGeMGMu\nMMt4eZAqhOj6WgzuSilv4FngdCAdWKeUWqK13ulw2tVAgdZ6iFLqUuBR4JK2FOj11alsTCsE4NcD\nR/hqezY//HEmEUF+1Fk02zOKKK+uY3VKHrGhARw6Uk5EkB+9A/3IKalkd3YJX2w185+G+PuwfMom\n4kq22W8Q3r8txRJCiC7FmZr7JCBZa70fQCn1HjAfcAzu84EHrOsfAv9RSimtm0je4uDLrVlsyyii\nqKKa73flkFtSxZzRfXh6wXFszyjm4hfXcPJjy5kxLJodmUWk5pc3ez1vL8WMYdFcckJ/JtZtI/bT\nR+ufENLPibcshBBdmzPBPQ445LCdDkxu6hytda1SqgiIBPKaumhpaSmbDxVy4zsbAdMr8YSBEcwa\nHs2980bh7+PNxAG9eWbBBO77bAcb0woI9PNm3ri+jOwTwlnj+pFfVsXofmHUWjT5pVWEB/oR1svX\nfpMf36p/06BomXBDCNEjuPSBqlJqEbAIYEJfH859dhVRwf58csN0Av28iQw+dsLouWP7Mnds30av\nNzAq6Oh6sH8jb6Uky74eOxauX9W+NyCEEF2EM4OYMgDHhup4675Gz1FK+QBhmAer9WitX9JaJ2mt\nk7ywcPGYUL685ST6RwTWD+yZm8BS17p30pjCg+AXYtYTprT/ekII0UU4E9zXAUOVUoOUUn7ApcCS\nBucsAa6yrl8I/OBMe/tjp4YTGxpQf+fhHfDSTPjvGcfmWy9Ihf/OhqytLZe6/AikLIfR58K1P8EZ\nf2/5NUII0U20GNy11rXATcA3wC7gA631DqXUQ0qpc6yn/ReIVEolA38A7nbq7isfh9qq+vuyt5tl\nxnrI3V3/2Or/wKG1cGBly9fO3QO6DkbNh77jwDeg5dcIIUQ34VRuGa31Uq31MK11otb6Yeu++7TW\nS6zrlVrri7TWQ7TWk2w9a1q0awlsfb/+PseAvvFNs6wuh49+D0XW57rVZVBXC5vfhYrCY69bXQar\nnjTrkYlOFUUIIboT949QXXKzya/eyzqtXd5eiBoO/Y6DDa/BjD/B3m9h2//srynPh7XPwnf3gV8w\nePua11y1BHz84cfHYN83ENIXekvqXiFEz+O+rJCOMx09OhCW/9Os5+6G6GEw7RaoKYPPb4XiBs9v\ny/Ph4BqzXl0KFQWmuealmbD/RzMhB8DFbx7N/CiEED2J+4J7WDzcvBHiTzDbB3+G2mo4csDUwvuM\ngXGXwM7PYNmD9V9bnle/+WbkOZAwFXJ2whvnmPb6GXdB/xNc936EEMKDuLdZJjIRfv+9aU8/9Asc\nSTEPQaNHmOPn/MfMnpSxof7rUn82MypNvxVOf8i+f+cS+OAKs554imvegxBCeCDPmKwjYjAUpcOe\npWY72jqZho8fXPwGnPUk9BlnP99SY5ah8fWvM3yumYzDJwDikjq/3EII4aHc/0AVoO940BZYZq2F\nRw61HwuLh6TfmYeq2Q7920ecBeMurn8dbx+4bTt4eZl1IYTooTwjAg462b4+6VrwCzz2HNs+/1Az\nmfUFi8G317HnBUV2ThmFEKIL8YxmGf8Qe4A/9b4mTrL2ejn5DnigqPHALoQQAvCUmjvAJW9B4SHw\nD278uK2dPSDMdWUSQoguynOCe0AY9GkmcAeEm2XMKNeURwghujDPCe4tOeUvMGw29J/k7pIIIYTH\n84w2d2cEx8CIee4uhRBCdAldJ7gLIYRwmgR3IYTohiS4CyFENyTBXQghuiEJ7kII0Q1JcBdCiG5I\ngrsQQnRDEtyFEKIbUlpr99xYqRJgTxtfHgYUdWBxWisBSHPj/d39/uX+7r2/J5RB7u+++w/XWoe0\ndJI70w/s0Vq3aUYNpdRLWutFHV2gVtw/t61l76D7u/v9y/3deH9PKIPc3333V0qtd+a8rtos87mb\n71/o5vu7+/3L/d3P3WWQ+3s4dzbLrHdn7bc9unLZhRBdm7Pxx50195fceO/26splF0J0bU7FH7fV\n3LsYDV8AAAdBSURBVIUQQnQej25zV0oFKKV+VUptUUrtUEo9aN1/k1IqWSmllVJR7i5nZ1JKzVFK\n7bG+37ut+9627tuulHpFKeXrhjL81/rvslUp9aFSqokptDrn/g7H/q2UKu2sezd1f6XUa0qpA0qp\nzdaf41x8f6WUelgptVcptUspdYuL7/+Tw3vPVEp96uL7n6qU2mi9/yql1BAX3/8U6/23K6VeV0p5\n3twYWmuP/cFMnBpsXfcFfgGmABOAgUAqENXJZZiD6bKZDNxt3XeTdVt35v0BbyAFGAz4AVuAUcBc\n6+9GAe8C17uhDKEO5zxh+9246v7WY0nAm0CpG97/a8CFnfl/r4X7/xZ4A/Cynhfj6t+/wzkfAVe6\n+P3vBUZaz7kBeM3F9z8EDLOe8xBwdWf/X2jtj0fX3LVhq5X5Wn+01nqT1jq1s++vlPIGngXOxPyD\nLlBKjQJ+Bk4DDnZyESYByVrr/VrrauA9YL7Weqn1d6OBX4F4N5ShGEwNEuiF+aBz2f2t/zaPA3d2\n0n2bvX8n39OZ+18PPKS1tgBorXNcfH8AlFKhwClAZ9Xcm7q/BkKt54QBmS68/wVAtdZ6r/Wc76z7\nPIpHB3cwAVYptRnIAb7TWv/iwts3Fdhc8uECxGFqCDbp1n0AWJtjrgC+dkcZlFKvAtnACOAZF9//\nJmCJ1jqrk+7b0v0BHrY2Sz2plPJ38f0TgUuUUuuVUl8ppYa6+P425wLLbB/2Lrz/74GlSql0zN/A\nIy68fx/ARyll67FyIdC/k+7fZh4f3LXWdVrr4zC100lKqTEuvH1L/7Hd7Tlgpdb6J3fcXGv9W6Af\nsAu4xIW3DgQuovM+UJxxD+ZD7QQgArjLxff3Byq16RL3MvCKi+9vswDTNOhqtwNztdbxwKuYpkFX\n0cClwJNKqV+BEqDOhfd3iscHdxutdSGwHNMG3lNkUL9GEG/dh1LqfiAa+IO7ygDmwxf7V1VX3T8F\nGAIkK6VSgUClVLIL75+htc6ytoxVYYJLZ83c3tTvPx342LrvE2Cci++PtTPDJODLTrp3U/c/DIx3\n+Bb/PjDNhffP0Fqv0VqfpLWeBKzEPAPwKB4d3JVS0UqpcOt6L+B0YLcLi9BsYHOBdcBQpdQgpZQf\nprawRCn1e2A2sMDW5uqGMgyBo23u59B5/y6N3f9TrXUfrfVArfVAoFxr3Vm9JZp6/33h6Ps/F9ju\nyvtj2rhnWc+ZQecFl6buD6Y54gutdWUn3bu5+4cppYZZzzkd8+3RZfdXSsUAWJvj7gJe6KT7t527\nn+g294OpjWwCtmL+eO6z7r8FU3OpxTxIWdxJ9/cB9gODsD8pH+1wPJXO760zF/OHmwLca91Xa93e\nbP25z5VlwFQKfga2Wf9d3sah94wrfgcNjndab5lm/g1+cHj/b2Ht1eXC+4djaszbgDWYmqxLf//A\nCmBOZ/7um3n/51nf+xZrOQa7+P6PYz5Q9gC3dfbvoC0/MoipBUqpucBTmC5Rr2itH7b2Kb4T82Al\nB1iqtf69G4sphBD1SHAXQohuyKPb3IUQQrSNBHchhOiGJLgLIUQ3JMG9CZ2djEoIITqTBHchhOiG\nJLg3Qyk1Uyn1hcP2f5RSC63rqUqpB61pP7cppUa4raBCCNGABPf2ydNaHw88D9zh7sIIIYSNBPf2\nseX22IDJLy+EEB5Bgnvzaqn/OwpocLzKuqzDpCoQQgiPIMG9eQeBUUopf2sCs1PdXSAhhHCG1DYb\nYZ0PsUprfUgp9QEmOdQBTBIzIYTweJJbphFKqfHAy9rkahZCiC5HmmUaUEpdh5lZ5i/uLosQQrSV\n1NyFEKIbkpo7oJTqr5RarpTaqZTaoZS61bo/Qin1nVJqn3XZ27p/hFJqjVKqSil1R4Nr3W69xnal\n1LtKqYY9bIQQotNJcDdqgT9qrUcBU4AblVKjgLsxM7sPBZZZtwGOYGaD+j/Hiyil4qz7k7TWY/6/\nvftXrSIIwzD+fGAKo6SNURBru3Qi6WKfTi2ENF6FXW7AO0iRIk0ghZa2VkGJhYWlEJD4BwSjjQR8\nLWYkB/Ecq3OK4flVy87sMNu8LLPDfLQCHw8X8wqSdMFwB9KKHR/36++08lk3gC1gr3fbo9XKJMnn\nJK+A838Mdwm43HfcLNPKAErSQhnuf6mqW8A6cASsJjntTR+B1VnPJvlA+5o/AU6Bb0lezG2ykjSF\n4T6hqq4Ch7SCt2eTbWl/nmf+fe5r8lu0gtrXgStV9WhO05WkqQz3rqqWaMG+n+TPmTGfqmqtt6/R\nimHPcg94n+RLknPa2TN35zVnSZrGcAeqqoBd4F2SpxNNz4Htfr0NPPvPUCfAnapa7mNu0tbvJWmh\n3OcOVNUG8BJ4C/zqt5/Q1t0PgJu0c2buJ/laVdeA18BK7/8DuJ3krKp2gAe0HThvgMdJfiJJC2S4\nS9KAXJaRpAEZ7pI0IMNdkgZkuEvSgAx3SRqQ4S5JAzLcJWlAhrskDeg3RrfRhfvqaQwAAAAASUVO\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f77a240d940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pd.DataFrame(train_reward,index=asset_data[:,normalize_length:train_length*batch_size+normalize_length,'diff'].index,columns=['return']).cumsum().plot()\n",
    "asset_data[:,normalize_length:train_length*batch_size+normalize_length,'diff'].sum(axis=1).cumsum().plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2839,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f77a23c8630>"
      ]
     },
     "execution_count": 2839,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAERCAYAAACTuqdNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f77a2414a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "asset_data[:,train_length*batch_size+normalize_length:,'diff'].cumsum().plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2840,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f77a228c6d8>"
      ]
     },
     "execution_count": 2840,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAERCAYAAACTuqdNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nnAkABgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f77a22ef588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pd.DataFrame(test_reward,index=asset_data[:,train_length*batch_size+normalize_length:,'diff'].index,columns=['return']).cumsum().plot()\n",
    "asset_data[:,train_length*batch_size+normalize_length:,'diff'].sum(axis=1).cumsum().plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2841,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4549656041713206"
      ]
     },
     "execution_count": 2841,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum(test_reward)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2842,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f77a221b780>"
      ]
     },
     "execution_count": 2842,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfsAAAD8CAYAAABw+Q3eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f77a227f8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_action_df=pd.DataFrame(test_actions,index=asset_data[:,train_length*batch_size+normalize_length:,'diff'].index,columns=list(asset_data.items)+['cash'])\n",
    "sns.heatmap(test_action_df)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3.0
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  },
  "toc": {
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": "block",
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}